Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454h |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
750720 |
Modular degree for the optimal curve |
Δ |
-7881548967060701184 = -1 · 223 · 311 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,72315,-134882091] |
[a1,a2,a3,a4,a6] |
Generators |
[1707:69576:1] |
Generators of the group modulo torsion |
j |
23893832628239/4502895722496 |
j-invariant |
L |
2.8452782089679 |
L(r)(E,1)/r! |
Ω |
0.11024245187 |
Real period |
R |
3.2261598874816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818w1 41454n1 |
Quadratic twists by: -3 -7 |